Dynamic models of residential segregation: Brief review, analytical resolution and study of the introduction of coordination
In his 1971's Dynamic Models of Segregation paper, the economist Thomas C. Schelling showed that a small preference for one's neighbors to be of the same color could lead to total segregation, even if total segregation does not correspond to individual preferences and to a residential configuration maximizing the collective utility. The present work is aimed at deepening the understanding of the properties of dynamic models of segregation based on Schelling's hypotheses. Its main contributions are (i) to offer a comprehensive and up-to-date review of this family of models; (ii) to provide an analytical solution to the most general form of this model under rather general assumptions; to the best of our knowledge, such a solution did not exist so far; (iii) to analyse the effect of two devices aimed at decreasing segregation in such a model. Chapter one summarizes the ingredients of Schelling's models. We show how the choices of the agent's utility function, of the neighborhood description and of the dynamical rule can impact the outcome of a model. Based on the observation of simulations results, we find that the neighborhood description does not have a qualitative impact. As regards the dynamical rules, we show that the Logit Behavioral rule introduced in this literature by Young (1998); Zhang (2004b) presents several advantages relatively to the Best Response rule. Chapter two presents a general analytical solution to the model. To that aim, Schelling's model is recasted within the framework of evolutionary game theory, as previously done by Young (1998); Zhang (2004b). This allows to define sufficient assumptions regarding agents' utility functions that permit predicting the ï¬nal state of the system starting from any conï¬guration. This analytical resolution is then used to consider the outcomes of Schelling's utility function and of other utility functions previously used in this context. Chapter three examines the effects of introducing coordination in the moving decisions. This coordination is achieved through two different ways. We first impose different levels of taxes proportional to the externality generated by each move of the agents. It is shown that even a low level of tax is sufficient under certain circumstances to significantly reduce segregation. We then investigate the effect of the introduction of a local coordination by vote of co-proprietors, who are defined as the closest neighbors of each agent. It is shown that even a small amount of coordination can break segregation
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- David Card & Alexandre Mas & Jesse Rothstein, 2007.
"Tipping and the Dynamics of Segregation,"
NBER Working Papers
13052, National Bureau of Economic Research, Inc.
- Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416.
- Vigdor, Jacob L. & Glaeser, Edward & Cutler, David, 2008.
"Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation,"
2664275, Harvard University Department of Economics.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2008. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 478-497, August.
- David Cutler & Edward Glaeser & Jacob Vigdor, 2004. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," Working Papers 04-10, Center for Economic Studies, U.S. Census Bureau.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2005. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," NBER Working Papers 11295, National Bureau of Economic Research, Inc.
- David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 2005. "Is the Melting Pot Still Hot? Explaining the Resurgence of Immigrant Segregation," Harvard Institute of Economic Research Working Papers 2071, Harvard - Institute of Economic Research.
- Romans Pancs & Nicolaas J. Vriend, 2003.
"Schelling's Spatial Proximity Model of Segregation Revisited,"
487, Queen Mary University of London, School of Economics and Finance.
- Pancs, Romans & Vriend, Nicolaas J., 2007. "Schelling's spatial proximity model of segregation revisited," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 1-24, February.
- Romans Pancs & Nicolaas J. Vriend, 2003. "Schelling's Spatial Proximity Model of Segregation Revisited," Computing in Economics and Finance 2003 63, Society for Computational Economics.
- Romans Pancs & Nicolaas J. Vriend, . "Schelling's Spatial Proximity Model of Segregation Revisited," Modeling, Computing, and Mastering Complexity 2003 15, Society for Computational Economics.
- Joshua M. Epstein & Robert L. Axtell, 1996. "Growing Artificial Societies: Social Science from the Bottom Up," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262550253, June.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005.
"Segregation in Networks,"
Working Papers of BETA
2005-14, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," Working Papers 549, Queen Mary University of London, School of Economics and Finance.
- Giorgio Fagiolo & Marco Valente & Nicolaas J. Vriend, 2005. "Segregation in Networks," LEM Papers Series 2005/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
- W. Clark, 1991. "Residential preferences and neighborhood racial segregation: A test of the schelling segregation model," Demography, Springer, vol. 28(1), pages 1-19, February.
- Jason Barr & Troy Tassier, 2007.
"Segregation and Strategic Neighborhood Interaction,"
Working Papers Rutgers University, Newark
2007-001, Department of Economics, Rutgers University, Newark.
- Jason M Barr & Troy Tassier, 2008. "Segregation and Strategic Neighborhood Interaction," Eastern Economic Journal, Palgrave Macmillan, vol. 34(4), pages 480-503.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- William Clark, 1992. "Residential preferences and residential choices in a multiethnic context," Demography, Springer, vol. 29(3), pages 451-466, August.
- Zhang, Junfu, 2004. "Residential segregation in an all-integrationist world," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 533-550, August.
- Carrington, William J & Troske, Kenneth R, 1997. "On Measuring Segregation in Samples with Small Units," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(4), pages 402-09, October.
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